Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises: 57

Answer

($r^{3}$ - 16)($r^{3}$ - 5)

Work Step by Step

We write the polynomial $(r^{3})^{2}$ - 21$r^{3}$ + 80 *** We break of the middle term into two factors that add to give -21 and multiply to give +80. The two numbers are -16 and -5. $(r^{3})^{2}$ - 16$r^{3}$ - 5$r^{3}$ + 80 We take the GCD of the first two and the GCD of the last two terms. $r^{3}$($r^{3}$ - 16) -5 ($r^{3}$ - 16) We take ($r^{3}$ - 16) and factor it out which gives us. ($r^{3}$ - 16)($r^{3}$ - 5)
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